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- W2143610260 abstract "Level sets are isosurfaces of an implicit function F: R <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>3</sup> rarr R K, that is the set of points satisfying F( <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>x,</sub> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>y,</sub> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>z</sub> ) = 0.In this paper we introduce an algorithm to move at interactive speed through the different level sets. Furthermore the meshes of the level sets are isotopic to the isosurface itself, as long as the surface stays away from singularities. When the surface moves close to singularities, the algorithm indicates arbitrarily small boxes where the topology is not certified. In this case, the user can decide to decrease the size of the boxes by further refinement. For special classes of functions, such as algebraic surfaces, other methods could be used to determine the topology inside the singular boxes." @default.
- W2143610260 created "2016-06-24" @default.
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- W2143610260 date "2007-06-01" @default.
- W2143610260 modified "2023-09-27" @default.
- W2143610260 title "Certified meshing of families of isosurfaces" @default.
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- W2143610260 doi "https://doi.org/10.1109/smi.2007.11" @default.
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